226320480 has 144 divisors (see below), whose sum is σ = 801060624. Its totient is φ = 60341760.

The previous prime is 226320467. The next prime is 226320509. The reversal of 226320480 is 84023622.

226320480 is a `hidden beast` number, since 22 + 632 + 0 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35970 + ... + 41790.

It is an arithmetic number, because the mean of its divisors is an integer number (5562921).

Almost surely, 2^226320480 is an apocalyptic number.

226320480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226320480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400530312).

226320480 is an abundant number, since it is smaller than the sum of its proper divisors (574740144).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

226320480 is an equidigital number, since it uses as much as digits as its factorization.

226320480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5851 (or 5831 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 226320480 is about 15043.9516085369. The cubic root of 226320480 is about 609.4077203732.

The spelling of 226320480 in words is "two hundred twenty-six million, three hundred twenty thousand, four hundred eighty".